Lots of !
1. a container company wants to design a cardboard container in the shape of a triangular prism, as shown.

edge a-10 edge b-8 edge c-6 height-15

a. find the surface area of the container. show your work.
b. find the volume of the container. show your work.
c. the company will manufacture the container if the surface area to volume ratio is less than 1. determine whether the company should manufacture the container. show and explain your work.

Multiply and simplify. 2x^2 y^3 z^2 · 4xy^4 x^2 i will mark you brainliest if right. show how you got the answer, !

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.